%0 Book Section %1 statphys23_1034 %A Kim, D. %A Kahng, B. %A Rodgers, G.J. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K densities method model networks replica scale-free spectal static statphys23 topic-11 weighted %T Spectral densities of complex networks %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1034 %X The spectral densities, or the density of states, of several types of matrices associated with random complex networks are studied. Non-linear functional equations for the spectral densities are derived for the weighted Laplacian, random walk and weighted adjacency matrices using the replica method on the static model. Focusing on the scale-free networks with degree exponent $łambda$ and on the case where the link weights are parametrized by a weight exponent $\beta$, explicit exact results are obtained in the limit of large mean degree after the thermodynamic limit, for arbitrary $łambda$ and $\beta$.

@incollection{statphys23_1034, abstract = {The spectral densities, or the density of states, of several types of matrices associated with random complex networks are studied. Non-linear functional equations for the spectral densities are derived for the weighted Laplacian, random walk and weighted adjacency matrices using the replica method on the static model. Focusing on the scale-free networks with degree exponent $\lambda$ and on the case where the link weights are parametrized by a weight exponent $\beta$, explicit exact results are obtained in the limit of large mean degree after the thermodynamic limit, for arbitrary $\lambda$ and $\beta$.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Kim, D. and Kahng, B. and Rodgers, G.J.}, biburl = {https://www.bibsonomy.org/bibtex/2b43e036cf64f7f452820c490cbd0e778/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {6410182bb04315c7a02e21b4ec682640}, intrahash = {b43e036cf64f7f452820c490cbd0e778}, keywords = {densities method model networks replica scale-free spectal static statphys23 topic-11 weighted}, month = {9-13 July}, timestamp = {2007-06-20T10:16:37.000+0200}, title = {Spectral densities of complex networks}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1034}, year = 2007 }